Find all the zeros of the polynomial ![]()
![]()
, if two of its zeros are
and
.
We know that if
is a zero of a polynomial then ![]()
Since -√3 and √3 are zeros of
Therefore
and
are factors of
.
Now on dividing
to find other zeros.

By applying division algorithm, we have:
=
(
)
Hence, the zeros of the given polynomial are: ![]()
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